Equilibrium Properties of Ionized Dilute Electrolytes

Falkenhagen, H.; Ébeling, W.

doi:10.1016/b978-0-12-553001-9.50006-2

Cited by 63 publications

(51 citation statements)

References 43 publications

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“…(52), which in turn can be interpreted as the probability of finding two oppositely charged ions at the separation r. The minimum then correspond to a liminal between bound and unbound configurations. A much more careful analysis of the dipolar partition function has been carried out by Falkenhagen and Ebeling based on the resummed virial expansion [19]. They found that that the low temperature expansion of the Bjerrum equilibrium constant is identical to the equilibrium constant which can be constructed on the basis of the resummed virial expansion.…”

Section: The Bjerrum Associationmentioning

confidence: 99%

“…One way of doing this, while preserving the linearity of the theory, is to postulate existence of dipoles whose concentration is governed by the law of mass action. In the leadingorder approximation the dipoles can be treated as ideal noninteracting specie [17,18,19]. The total number of particles N = ρV is then subdivided into monopoles N 1 = ρ 1 V and dipoles N 2 = ρ 2 V .…”

Section: The Bjerrum Associationmentioning

confidence: 99%

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Introduction to statistical mechanics of charged systems

Levin¹

2004

Braz. J. Phys.

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The paper is the summary of lectures given in São Carlos, Brazil during the 2004 Summer School on Statistical Mechanics. My objective was to provide the students with some basic tools necessary to study the thermodynamics of Coulomb systems. I have restricted myself to simple models and techniques, which nevertheless, when used correctly can give a clear insight into the fundamental physics behind various complex phenomena that appear when the interactions between the system's constituents are dominated by the long ranged Coulomb force.

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Section: The Bjerrum Associationmentioning

confidence: 99%

Section: The Bjerrum Associationmentioning

confidence: 99%

Introduction to statistical mechanics of charged systems

Levin¹

2004

Braz. J. Phys.

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“…This process can be treated as a reversible chemical reaction, say, (+) + (−) ⇀ ↽ (+, −), leading to equilibrium densities of free ions and dipoles, varying with T and ρ 1,16 . In a continuum model, however, there arises a serious question as to precisely what configurations are to be considered as bound pairs 16,32,33 . In practice, this relates directly to the problem of determining the proper association constant K(T ).…”

Section: B Bjerrum Ion Pairingmentioning

confidence: 99%

Lattice models of ionic systems

Kobelev

Kolomeisky

Fisher

2002

The Journal of Chemical Physics

109

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A theoretical analysis of Coulomb systems on lattices in general dimensions is presented. The thermodynamics is developed using Debye-Hückel theory with ionpairing and dipole-ion solvation, specific calculations being performed for 3D lattices.As for continuum electrolytes, low-density results for sc, bcc and fcc lattices indicate the existence of gas-liquid phase separation. The predicted critical densities have values comparable to those of continuum ionic systems, while the critical temperatures are 60-70% higher. However, when the possibility of sublattice ordering as well as Debye screening is taken into account systematically, order-disorder transitions and a tricritical point are found on sc and bcc lattices, and gas-liquid coexistence is suppressed. Our results agree with recent Monte Carlo simulations of lattice electrolytes. 2

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“…The simplest theory of correlations is the random phase approximation (RPA), which is equivalent to a one-loop expansion around the mean-field solution (or the saddle-point) [15,16]. Corrections due to the strongcoupling limit effects can be incorporated into the RPA framework by an explicit incorporation of Bjerrum pairs, which are dimers between particles of opposite species [1,2,6,17,18]. For the primitive model this procedure correctly shifts the critical point of a gas-liquid transition to higher densities.…”

Section: Introductionmentioning

confidence: 99%

Two-component Gaussian core model: Strong-coupling limit, Bjerrum pairs, and gas-liquid phase transition

Frydel

Levin

2018

The Journal of Chemical Physics

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In the present work we investigate a gas-liquid transition in a two-component Gaussian core model, where particles of the same species repel and those of different species attract. Unlike a similar transition in a one-component system with particles having attractive interactions at long separations, and repulsive interactions at short separations, a transition in the two-component system is not driven solely by interactions, but by a specific feature of the interactions, the correlations. This leads to extremely low critical temperature, as correlations are dominant in the strong-coupling limit. By carrying out various approximations based on standard liquid-state methods, we show that a gas-liquid transition of the two-component system posses a challenging theoretical problem.

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Equilibrium Properties of Ionized Dilute Electrolytes

Cited by 63 publications

References 43 publications

Introduction to statistical mechanics of charged systems

Introduction to statistical mechanics of charged systems

Lattice models of ionic systems

Two-component Gaussian core model: Strong-coupling limit, Bjerrum pairs, and gas-liquid phase transition

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